Question
write each percent as a fraction in simplest form. \( \begin{array}{ll}\text { 1. } 30 \% & \text { 2. } 42 \%\end{array} \)
Ask by Medina Mitchell. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
1. \(30\% = \frac{3}{10}\)
2. \(42\% = \frac{21}{50}\)
Solution
Sure! Let's convert each percentage to a fraction and simplify them to their lowest terms.
1. **30%**
\[
30\% = \frac{30}{100}
\]
Simplify by dividing both numerator and denominator by 10:
\[
\frac{30 \div 10}{100 \div 10} = \frac{3}{10}
\]
**Simplified Fraction:** \(\frac{3}{10}\)
2. **42%**
\[
42\% = \frac{42}{100}
\]
Simplify by dividing both numerator and denominator by 2:
\[
\frac{42 \div 2}{100 \div 2} = \frac{21}{50}
\]
**Simplified Fraction:** \(\frac{21}{50}\)
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**Summary:**
1. \(30\% = \frac{3}{10}\)
2. \(42\% = \frac{21}{50}\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To convert a percent to a fraction, you simply place the percent value over 100 and simplify. For \(30\%\), you write it as \(\frac{30}{100}\), which simplifies to \(\frac{3}{10}\). For \(42\%\), you start with \(\frac{42}{100}\), which reduces to \(\frac{21}{50}\). So, we have \(30\% = \frac{3}{10}\) and \(42\% = \frac{21}{50}\). If you’re ever unsure about simplifying fractions, remember to find the greatest common divisor (GCD) of the numerator and denominator! For instance, the GCD of 42 and 100 is 2, making it easier to cut those numbers down to size—like trimming a messy hedge!
